Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.5 - Solving Radical Equations - Concept Quiz 9.5: 9

Answer

False

Work Step by Step

Step 1: $\sqrt x=x$ Step 2: Squaring both sides of the equation and simplifying, we obtain: $(\sqrt x)^{2}=x^{2}$ $x=x^{2}$ Step 3: Rearranging the equation, we find: $x^{2}-x=0$ Step 4: Taking $x$ common and solving the equation; $x^{2}-x=0$ $x(x-1)=0$ $x=0$ or $(x-1)=0$ $x=0$ or $x=1$ Therefore, the correct solution set of the equation is {$0,1$} which means that the question statement is false.
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